Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms
By applying Mawhin’s continuation theorem of coincidence degree theory, we study the existence of multiple positive periodic solutions for a Gilpin-Ayala competition predator-prey system with harvesting terms and obtain some sufficient conditions for the existence of multiple positive periodic solut...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/427264 |
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| _version_ | 1832554328809799680 |
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| author | Yongzhi Liao Yongkun Li Xiaoyan Dou |
| author_facet | Yongzhi Liao Yongkun Li Xiaoyan Dou |
| author_sort | Yongzhi Liao |
| collection | DOAJ |
| description | By applying Mawhin’s continuation theorem of coincidence degree theory, we study the existence of multiple positive periodic solutions for a Gilpin-Ayala competition predator-prey system with harvesting terms and obtain some sufficient conditions for the existence of multiple positive periodic solutions for the system under consideration. The result of this paper is completely new. An example is employed to illustrate our result. |
| format | Article |
| id | doaj-art-f2fab937419b4d359a5bf4e33e341c24 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f2fab937419b4d359a5bf4e33e341c242025-02-03T05:51:52ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/427264427264Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting TermsYongzhi Liao0Yongkun Li1Xiaoyan Dou2School of Computer Science and Technology, Panzhihua University, Sichuan, Panzhihua 617000, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaBy applying Mawhin’s continuation theorem of coincidence degree theory, we study the existence of multiple positive periodic solutions for a Gilpin-Ayala competition predator-prey system with harvesting terms and obtain some sufficient conditions for the existence of multiple positive periodic solutions for the system under consideration. The result of this paper is completely new. An example is employed to illustrate our result.http://dx.doi.org/10.1155/2012/427264 |
| spellingShingle | Yongzhi Liao Yongkun Li Xiaoyan Dou Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms Abstract and Applied Analysis |
| title | Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms |
| title_full | Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms |
| title_fullStr | Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms |
| title_full_unstemmed | Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms |
| title_short | Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms |
| title_sort | multiple positive periodic solutions for a gilpin ayala competition predator prey system with harvesting terms |
| url | http://dx.doi.org/10.1155/2012/427264 |
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